蒋美群.加速松弛迭代法的最优因子[J].数学研究及应用,1995,15(3):423~428
加速松弛迭代法的最优因子
The OPtimal Factors of the AOR Method
投稿时间:1991-09-12  
DOI:10.3770/j.issn:1000-341X.1995.03.023
中文关键词:  加速松弛迭代法  最优因子  相容次序矩阵
英文关键词:accelerated overrelation(AOR) iterative method, optimal factor, consistentlyordered matrix.
基金项目:
作者单位
蒋美群 苏州大学数学系 
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中文摘要:
      本文定义了加速松弛迭代法的最优因子,并就具有相容次序且对角线上元素全不为零矩阵得到了最优因子的表达式,最后就本文的结论好于G.Avdelas&A.Hadjidimos的结果给出了实例.
英文摘要:
      In this paper, a new concept of optimal factors of the accelerated overrelaxation iter-ative method for linear systems is defined. The formula of the optimal factors is obtainedfor the consistently ordered matrices whose diagonal elelnents are nonzero. Example isgiven to shOw that the results are general than that of G.Avdelas & A.Hadjidimos.
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